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Finding the Fourth Proportional to 1,482.30, 2,221.02 and 659.34

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Solution

The fourth proportional to 1,482.30, 2,221.02 and 659.34 is: 987.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.30 : 2,221.02 = 659.34 : x
  2. Step 2: Convert to fraction form
    1,482.30/2,221.02 = 659.34/x
  3. Step 3: Cross multiply
    1,482.30x = 2,221.02 × 659.34
  4. Step 4: Simplify right side
    1,482.30x = 1,464,407.33
  5. Step 5: Solve for x
    x = 1,464,407.33/1,482.30
  6. Step 6: Final answer
    x = 987.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.